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Condensed Matter > Statistical Mechanics

Title:The Influence of Boundary Conditions in the Six-Vertex Model

Abstract: We discuss the influence of boundary conditions on the continuum limit of the
six-vertex model by deriving a variational principle for the associated height
function with arbitrary fixed boundary conditions. We discuss its consequences
using the known phase diagram of the six-vertex model. In some particular cases
we compute explicitly the corresponding partial differential equations by means
of the Bethe Ansatz.